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Finding the Third Proportional to 12,607 and 27,138.50

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Solution

The third proportional to 12,607 and 27,138.50 is: 58,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607 : 27,138.50 = 27,138.50 : x
  2. Step 2: Convert to fraction form
    12,607/27,138.50 = 27,138.50/x
  3. Step 3: Cross multiply
    12,607x = 27,138.50 × 27,138.50
  4. Step 4: Simplify right side
    12,607x = 736,498,182.25
  5. Step 5: Solve for x
    x = 736,498,182.25/12,607
  6. Step 6: Final answer
    x = 58,419.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.